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Concentration around the mean for maxima of empirical processes

Research paper by T. Klein, E. Rio

Indexed on: 29 Jun '05Published on: 29 Jun '05Published in: Mathematics - Probability



Abstract

In this paper we give optimal constants in Talagrand's concentration inequalities for maxima of empirical processes associated to independent and eventually nonidentically distributed random variables. Our approach is based on the entropy method introduced by Ledoux.